In a triangle ABC AB = 10, BC = 8, AC = 6. Pick the average angle of the triangle.

By the theorem on the relationship between the sides and angles of a triangle, it is known that in a triangle opposite the larger side there is a larger angle.
In triangle ABC, angle C is opposite to AB, angle A is opposite to BC, and angle B is opposite to AC.
Let’s compare the side of the triangle AB with the sides BC and AC:
AB> BC;
AB> AC.
AB is the biggest side.
Let’s compare the sides of the BC and the AC:
ВС> AC.
AC is the smallest side.
Then the BC side is middle.
Angle A lies opposite the side BC, then angle A is the average angle of the triangle ABC.
Answer: corner A.